1225842320430 has 384 divisors, whose sum is σ = 4162904928000. Its totient is φ = 242870648832.

The previous prime is 1225842320419. The next prime is 1225842320449. The reversal of 1225842320430 is 340232485221.

1225842320430 is a `hidden beast` number, since 1 + 2 + 2 + 584 + 2 + 32 + 0 + 43 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62504466 + ... + 62524074.

It is an arithmetic number, because the mean of its divisors is an integer number (10840898250).

Almost surely, 2^{1225842320430} is an apocalyptic number.

1225842320430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225842320430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081452464000).

1225842320430 is an abundant number, since it is smaller than the sum of its proper divisors (2937062607570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1225842320430 is a wasteful number, since it uses less digits than its factorization.

1225842320430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20108 (or 20105 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 1225842320430 in words is "one trillion, two hundred twenty-five billion, eight hundred forty-two million, three hundred twenty thousand, four hundred thirty".